1,126 Answered Questions for the topic AP Calculus
01/15/20
I need help with integral please!
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = 1 - x2 and the x-axis?Options:
01/15/20
The graph of the derivative, f '(x) is shown below. On what interval is the graph of f (x) increasing?
Question options:
1)
Increasing on (-∞, -4) U (2, ∞)
2)
Increasing on (-4, 2)
3)
Increasing on (-1, ∞)
4)
Increasing on (0, ∞ )
01/15/20
Where is the second derivative of y = 4xex equal to 0?
Question options:
1)
-4
2)
-2
3)
-1
4)
0
01/15/20
Which of the following functions is continuous at x = 5?
Question options:
1)
2)
3)
4)
All are continuous at x = 5
01/15/20
End Behavior of function
The end behavior of most closely matches which of the following? Question options:
1)
y = 0
2)
y = 2
3)
y = 9
4)
y = -9
01/15/20
Please help me with integrals!
If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:
01/14/20
Calculus help please
The side of a square is measured to be 12 ft with a possible error of ±0.1 ft. Use differentials to estimate the error in the calculated area. Include units in your answer.
01/14/20
Calculus problem: Help needed please
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the rate of 2 cm3/min. At what rate is the depth of the water changing at...
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01/14/20
Help with calculus problem please
The position function of a particle in rectilinear motion is given by s(t) = 2t3 - 21t2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration...
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01/14/20
Integration, please help!
Which of the following integrals cannot be evaluated using a simple substitution?Options:
01/14/20
Integration, please help!
Evaluate the integral . (4 points)Question 2 options:
-2csc(5x)cot(5x) + C
-10csc(5x)cot(5x) + C
01/14/20
Help please - integral evaluation
If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:
01/14/20
Help please - integral evaluation
Please evaluate the integral: Options:
-sin(x) + C
sin(x) + C
None of these
01/14/20
Calculus help needed please
Which of the following statements is/are true? I. If f '(x) > 0 on (a, b), then f(x) is increasing on [a, b].II. If f(a) = f(b), then there exists a number c in (a, b) such that f '(c) = 0.III....
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01/14/20
Help with Calculus
The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing...
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01/14/20
Help with Calculus question
Given the relationship x2 + 3y2 =12, with y > 0 and = 2 units/min., find the value of at the instant y = 1 unit. Question options:
1)
units/min
2)
units/min
3)
-2 units/min
4)
0...
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01/14/20
Interval of moving object
Given the position function, , between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.Question...
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01/14/20
Finding velocity and acceleration
Given the position function s(t), s(t) = t3 - 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds.Question options:
1)
12...
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01/13/20
Pair of functions that satisfies the limit
For which pair of functions f(x) and g(x) below will the ?Question options:
1)
f(x) = ex; g(x) = x3
2)
f(x) = x5; g(x) = ex
3)
f(x) = x3; g(x) = ln(x)
4)
f(x) = x-2; g(x) = e-x
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